Question

A lion runs at a speed of 50 mph and a cheetah runs 78 mph. If they both run at a steady rate, how far will a cheetah run in the time it takes a lion to run 13.75 miles?

Answer 1

21.45 miles

Explanation:

First, let's find the main ratio:

50:78

Now, let's bring a variable into the equation.

13.75:x

We can find the number to multiply by dividing 13.75 by 50 using long division.

13.75÷50=0.275

We need to find how many miles the cheetah ran, so we will multiply 78 and 0.275.

78·0.275=21.45

So, the cheetah ran 21.45 miles in the time it took the lion to run 13.75 miles.

Answer 2

21.45 mi

Explanation:

Distance = speed × time

The time it takes the lion is:

13.75 mi = 50 mi/hr × t

t = 0.275 hr

The distance ran by the cheetah in that time is:

d = 78 mi/hr × 0.275 hr

d = 21.45 mi